Search a number
-
+
331344412113303 = 32113325805714959
BaseRepresentation
bin100101101010110110010000…
…1111110110111100110010111
31121110012012211210012220200200
41023111230201332313212113
5321412221324000111203
63132413304352511543
7126535562263450611
oct11325544176674627
91543165753186620
10331344412113303
1196638415563836
12311b492524b5b3
13112b684ab05484
145bb72258c7db1
1528490665729a3
hex12d5b21fb7997

331344412113303 has 12 divisors (see below), whose sum is σ = 482844069570720. Its totient is φ = 218941440451776.

The previous prime is 331344412113257. The next prime is 331344412113313. The reversal of 331344412113303 is 303311214443133.

331344412113303 is a `hidden beast` number, since 3 + 3 + 1 + 344 + 4 + 1 + 2 + 1 + 1 + 3 + 303 = 666.

It is a de Polignac number, because none of the positive numbers 2k-331344412113303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331344412113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162902856463 + ... + 162902858496.

It is an arithmetic number, because the mean of its divisors is an integer number (40237005797560).

Almost surely, 2331344412113303 is an apocalyptic number.

331344412113303 is a deficient number, since it is larger than the sum of its proper divisors (151499657457417).

331344412113303 is a wasteful number, since it uses less digits than its factorization.

331344412113303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325805715078 (or 325805715075 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 331344412113303 its reverse (303311214443133), we get a palindrome (634655626556436).

The spelling of 331344412113303 in words is "three hundred thirty-one trillion, three hundred forty-four billion, four hundred twelve million, one hundred thirteen thousand, three hundred three".

Divisors: 1 3 9 113 339 1017 325805714959 977417144877 2932251434631 36816045790367 110448137371101 331344412113303